Bulk entanglement gravity without a boundary: Towards finding Einstein's equation in Hilbert space

@article{Cao2018BulkEG,
  title={Bulk entanglement gravity without a boundary: Towards finding Einstein's equation in Hilbert space},
  author={ChunJun Cao and S. Carroll},
  journal={Physical Review D},
  year={2018},
  volume={97},
  pages={086003}
}
We consider the emergence from quantum entanglement of spacetime geometry in a bulk region. For certain classes of quantum states in an appropriately factorized Hilbert space, a spatial geometry can be defined by associating areas along codimension-one surfaces with the entanglement entropy between either side. We show how radon transforms can be used to convert these data into a spatial metric. Under a particular set of assumptions, the time evolution of such a state traces out a four… 
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